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Finding the Fourth Proportional to 1,350.75, 1,863.87 and 753.10

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Solution

The fourth proportional to 1,350.75, 1,863.87 and 753.10 is: 1,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.75 : 1,863.87 = 753.10 : x
  2. Step 2: Convert to fraction form
    1,350.75/1,863.87 = 753.10/x
  3. Step 3: Cross multiply
    1,350.75x = 1,863.87 × 753.10
  4. Step 4: Simplify right side
    1,350.75x = 1,403,682.99
  5. Step 5: Solve for x
    x = 1,403,682.99/1,350.75
  6. Step 6: Final answer
    x = 1,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.